First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.
2x+7=3x-7
x=14
Then, since 2x+7 and 12y+1 equals 180, put it together to find y:
(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12
So, x=14 and y=12. Your answer should be C!
Answer:
Step-by-step explanation:
Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.
The numbers are written as a product:
a * 10ⁿ
where:
- a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
- n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it shifts to the left, negative if it shifts to the right.
Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10
Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.
Answer:
Infinitely many solutions.
Step-by-step explanation:
Any value of X makes the statement true, meaning the solution is all real numbers.
Distribute the 2 to all terms within the parenthesis
2(x + 8) = 2x + 16
2x + 16 = x + 20
Isolate the x. Subtract x from both sides and 16
2x (-x) + 16 (-16) = x (-x) + 20 (-16)
2x - x = 20 - 16
Simplify. Combine like terms.
x = 4
C. 4 is your answer
hope this helps
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
